{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.11593640946103137\n",
      "0.18571428571428575\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[[4.0, 8, 8.0], [4.0, 5, 4.0], [4.0, 6, 5.0], [8.0, 8, 8.0], [8.0, 6, 5.0], [8.0, 8, 8.0], [4.0, 5, 4.0], [8.0, 4, 4.0], [8.0, 8, 8.0], [4.0, 6, 4.0], [8.0, 8, 8.0], [4.0, 6, 4.0], [8.0, 11, 8.0], [3.0, 4, 3.0], [8.0, 6, 4.0], [3.0, 6, 4.0], [4.0, 5, 4.0], [4.0, 4, 4.0], [8.0, 8, 8.0], [4.0, 6, 5.0], [8.0, 5, 4.0], [6.0, 6, 4.0], [8.0, 8, 8.0], [8.0, 10, 8.0], [16.0, 17, 16.0], [10.0, 8, 8.0], [6.0, 10, 10.0], [6.0, 6, 6.0], [8.0, 9, 8.0], [4.0, 8, 8.0], [8.0, 8, 8.0], [5.0, 5, 4.0], [7.0, 5, 4.0], [3.0, 6, 6.0], [12.0, 8, 8.0], [8.0, 9, 8.0], [6.0, 6, 4.0], [4.0, 8, 8.0], [8.0, 8, 8.0], [7.0, 10, 10.0], [10.0, 6, 5.0], [8.0, 6, 4.0], [6.0, 5, 5.0], [14.0, 7, 7.0], [9.0, 8, 8.0], [8.0, 6, 4.0], [4.0, 8, 8.0], [4.0, 6, 4.0]], [[14.0, 14, 12.0], [16.0, 12, 10.0], [8.0, 10, 10.0], [8.0, 10, 8.0], [24.0, 13, 12.0], [12.0, 9, 8.0], [6.0, 8, 6.0], [8.0, 9, 7.0], [7.0, 8, 7.0], [20.0, 12, 12.0], [8.0, 10, 10.0], [16.0, 12, 12.0], [16.0, 10, 10.0], [12.0, 6, 5.0], [6.0, 10, 10.0], [12.0, 16, 16.0], [8.0, 9, 9.0], [14.0, 8, 7.0], [15.0, 14, 13.0], [8.0, 11, 8.0], [12.0, 9, 8.0], [8.0, 8, 8.0], [12.0, 12, 12.0], [18.0, 16, 16.0], [12.0, 6, 6.0], [8.0, 18, 14.0], [12.0, 13, 12.0], [12.0, 14, 14.0], [26.0, 18, 18.0], [12.0, 8, 8.0], [12.0, 8, 6.0], [8.0, 8, 7.0], [14.0, 11, 10.0], [6.0, 8, 8.0], [16.0, 12, 12.0], [8.0, 12, 11.0], [6.0, 9, 7.0], [6.0, 7, 6.0], [9.0, 10, 9.0], [8.0, 8, 8.0], [10.0, 10, 10.0], [12.0, 15, 12.0], [12.0, 10, 10.0], [8.0, 12, 12.0], [6.0, 10, 10.0], [12.0, 12, 11.0], [12.0, 13, 12.0], [16.0, 11, 8.0]], [[16.0, 13, 12.0], [28.0, 20, 20.0], [20.0, 17, 14.0], [9.0, 10, 10.0], [6.0, 10, 10.0], [11.0, 8, 6.0], [13.0, 14, 11.0], [12.0, 13, 12.0], [16.0, 16, 14.0], [14.0, 18, 16.0], [12.0, 13, 12.0], [16.0, 15, 14.0], [14.0, 10, 10.0], [14.0, 13, 10.0], [15.0, 12, 12.0], [12.0, 10, 10.0], [16.0, 16, 16.0], [11.0, 15, 14.0], [14.0, 13, 13.0], [10.0, 14, 14.0], [24.0, 12, 12.0], [34.0, 17, 16.0], [26.0, 14, 14.0], [10.0, 12, 10.0], [16.0, 11, 10.0], [12.0, 11, 9.0], [26.0, 12, 12.0], [16.0, 13, 9.0], [12.0, 12, 12.0], [10.0, 12, 12.0], [14.0, 12, 12.0], [24.0, 21, 20.0], [12.0, 15, 13.0], [10.0, 9, 8.0], [16.0, 16, 16.0], [8.0, 10, 9.0], [8.0, 14, 12.0], [22.0, 13, 12.0], [14.0, 14, 12.0], [18.0, 14, 12.0], [10.0, 15, 14.0], [18.0, 18, 15.0], [10.0, 10, 8.0], [12.0, 20, 20.0], [10.0, 11, 10.0], [12.0, 13, 12.0], [12.0, 16, 16.0], [22.0, 13, 10.0]], [[18.0, 24, 24.0], [12.0, 18, 16.0], [12.0, 11, 10.0], [16.0, 13, 12.0], [12.0, 15, 12.0], [20.0, 14, 12.0], [18.0, 15, 11.0], [26.0, 20, 20.0], [18.0, 17, 14.0], [18.0, 17, 14.0], [12.0, 16, 16.0], [8.0, 12, 11.0], [11.0, 11, 10.0], [22.0, 18, 18.0], [14.0, 14, 14.0], [12.0, 16, 16.0], [12.0, 19, 13.0], [16.0, 12, 12.0], [20.0, 17, 16.0], [16.0, 16, 16.0], [15.0, 13, 12.0], [28.0, 19, 16.0], [24.0, 17, 16.0], [12.0, 18, 16.0], [44.0, 20, 20.0], [28.0, 17, 16.0], [18.0, 19, 19.0], [20.0, 14, 12.0], [12.0, 16, 12.0], [10.0, 10, 9.0], [16.0, 21, 18.0], [15.0, 19, 14.0], [16.0, 18, 16.0], [18.0, 16, 14.0], [14.0, 17, 14.0], [10.0, 9, 8.0], [24.0, 17, 16.0], [38.0, 24, 24.0], [20.0, 18, 14.0], [24.0, 24, 24.0], [24.0, 15, 12.0], [14.0, 14, 14.0], [11.0, 14, 14.0], [9.0, 12, 9.0], [20.0, 20, 20.0], [12.0, 19, 14.0], [6.0, 11, 8.0], [12.0, 14, 12.0]], [[15.0, 17, 16.0], [28.0, 16, 14.0], [30.0, 16, 14.0], [15.0, 13, 12.0], [12.0, 14, 10.0], [26.0, 23, 22.0], [16.0, 18, 16.0], [20.0, 22, 22.0], [14.0, 18, 16.0], [20.0, 18, 18.0], [32.0, 19, 14.0], [14.0, 16, 12.0], [24.0, 28, 26.0], [42.0, 19, 19.0], [16.0, 17, 14.0], [13.0, 14, 14.0], [18.0, 21, 14.0], [8.0, 16, 12.0], [12.0, 17, 16.0], [14.0, 14, 14.0], [16.0, 17, 13.0], [22.0, 18, 18.0], [18.0, 16, 16.0], [20.0, 17, 16.0], [18.0, 22, 20.0], [18.0, 17, 16.0], [36.0, 20, 15.0], [26.0, 21, 18.0], [18.0, 23, 22.0], [22.0, 18, 18.0], [24.0, 24, 24.0], [16.0, 21, 16.0], [16.0, 17, 14.0], [20.0, 18, 15.0], [28.0, 18, 18.0], [28.0, 30, 30.0], [28.0, 20, 17.0], [14.0, 25, 24.0], [10.0, 14, 10.0], [18.0, 18, 18.0], [18.0, 16, 16.0], [18.0, 17, 16.0], [13.0, 15, 13.0], [16.0, 24, 22.0], [13.0, 15, 14.0], [16.0, 18, 18.0], [18.0, 20, 16.0], [20.0, 17, 16.0]], [[28.0, 23, 20.0], [20.0, 20, 16.0], [16.0, 16, 14.0], [26.0, 22, 22.0], [16.0, 16, 15.0], [17.0, 20, 18.0], [38.0, 38, 38.0], [28.0, 16, 16.0], [18.0, 21, 18.0], [18.0, 23, 22.0], [26.0, 18, 18.0], [12.0, 19, 17.0], [16.0, 18, 15.0], [19.0, 19, 18.0], [24.0, 22, 22.0], [24.0, 19, 16.0], [22.0, 23, 20.0], [26.0, 32, 27.0], [36.0, 23, 18.0], [36.0, 33, 30.0], [16.0, 21, 18.0], [30.0, 22, 20.0], [10.0, 13, 12.0], [22.0, 24, 20.0], [26.0, 21, 20.0], [22.0, 20, 20.0], [20.0, 29, 24.0], [21.0, 24, 22.0], [12.0, 22, 16.0], [24.0, 26, 24.0], [26.0, 21, 18.0], [18.0, 18, 18.0], [20.0, 23, 20.0], [22.0, 22, 18.0], [52.0, 18, 18.0], [18.0, 24, 24.0], [22.0, 19, 16.0], [28.0, 22, 22.0], [22.0, 16, 16.0], [34.0, 20, 18.0], [18.0, 21, 16.0], [16.0, 17, 14.0], [20.0, 24, 22.0], [24.0, 23, 20.0], [19.0, 21, 20.0], [12.0, 16, 16.0], [28.0, 20, 20.0], [18.0, 20, 20.0]], [[18.0, 17, 16.0], [30.0, 25, 22.0], [18.0, 26, 24.0], [34.0, 23, 22.0], [22.0, 22, 22.0], [28.0, 22, 22.0], [14.0, 26, 24.0], [42.0, 20, 18.0], [18.0, 20, 18.0], [28.0, 22, 20.0], [16.0, 16, 14.0], [18.0, 19, 16.0], [22.0, 20, 20.0], [26.0, 19, 14.0], [40.0, 19, 17.0], [22.0, 21, 18.0], [32.0, 30, 28.0], [34.0, 40, 36.0], [24.0, 27, 26.0], [28.0, 23, 22.0], [18.0, 21, 20.0], [42.0, 23, 22.0], [14.0, 18, 18.0], [28.0, 24, 22.0], [28.0, 24, 22.0], [22.0, 25, 21.0], [14.0, 20, 17.0], [22.0, 24, 24.0], [22.0, 21, 20.0], [20.0, 21, 16.0], [30.0, 21, 17.0], [14.0, 16, 15.0], [16.0, 19, 16.0], [14.0, 16, 14.0], [20.0, 24, 20.0], [32.0, 33, 28.0], [34.0, 20, 18.0], [34.0, 20, 18.0], [18.0, 21, 16.0], [18.0, 17, 14.0], [22.0, 25, 22.0], [26.0, 20, 20.0], [19.0, 23, 18.0], [28.0, 31, 27.0], [34.0, 27, 24.0], [30.0, 19, 18.0], [27.0, 23, 22.0], [23.0, 22, 17.0]], [[26.0, 30, 30.0], [18.0, 28, 20.0], [42.0, 43, 40.0], [28.0, 30, 30.0], [32.0, 23, 18.0], [20.0, 23, 22.0], [48.0, 31, 30.0], [18.0, 20, 16.0], [36.0, 22, 18.0], [26.0, 24, 18.0], [52.0, 37, 32.0], [22.0, 23, 22.0], [28.0, 22, 20.0], [42.0, 34, 26.0], [62.0, 44, 44.0], [20.0, 24, 22.0], [34.0, 34, 32.0], [28.0, 25, 22.0], [17.0, 19, 18.0], [34.0, 42, 41.0], [36.0, 31, 30.0], [30.0, 28, 24.0], [20.0, 22, 16.0], [18.0, 21, 18.0], [26.0, 21, 20.0], [14.0, 25, 22.0], [30.0, 34, 32.0], [26.0, 22, 20.0], [17.0, 32, 28.0], [16.0, 24, 18.0], [28.0, 26, 22.0], [29.0, 24, 21.0], [28.0, 27, 24.0], [21.0, 29, 26.0], [18.0, 25, 22.0], [24.0, 28, 22.0], [26.0, 27, 24.0], [42.0, 32, 30.0], [24.0, 28, 28.0], [14.0, 18, 16.0], [20.0, 23, 22.0], [26.0, 24, 22.0], [18.0, 25, 22.0], [28.0, 19, 16.0], [34.0, 27, 24.0], [34.0, 46, 46.0], [18.0, 21, 20.0], [28.0, 31, 26.0]], [[36.0, 17, 16.0], [24.0, 32, 30.0], [34.0, 34, 29.0], [26.0, 36, 32.0], [28.0, 30, 30.0], [27.0, 38, 34.0], [36.0, 28, 28.0], [17.0, 20, 14.0], [32.0, 33, 27.0], [38.0, 31, 30.0], [34.0, 28, 26.0], [26.0, 25, 24.0], [28.0, 32, 30.0], [26.0, 27, 23.0], [34.0, 40, 36.0], [14.0, 26, 24.0], [32.0, 30, 30.0], [20.0, 29, 24.0], [34.0, 25, 24.0], [44.0, 30, 27.0], [38.0, 36, 32.0], [37.0, 37, 36.0], [40.0, 40, 40.0], [23.0, 25, 20.0], [36.0, 43, 38.0], [30.0, 29, 25.0], [38.0, 34, 32.0], [24.0, 24, 16.0], [22.0, 28, 27.0], [24.0, 28, 24.0], [26.0, 26, 26.0], [30.0, 29, 29.0], [38.0, 23, 18.0], [50.0, 40, 38.0], [26.0, 34, 32.0], [28.0, 23, 20.0], [20.0, 26, 22.0], [33.0, 35, 33.0], [48.0, 25, 22.0], [21.0, 24, 18.0], [24.0, 23, 22.0], [33.0, 29, 23.0], [26.0, 28, 28.0], [20.0, 30, 24.0], [56.0, 40, 38.0], [18.0, 23, 22.0], [41.0, 36, 36.0], [26.0, 25, 22.0]], [[32.0, 30, 24.0], [26.0, 32, 28.0], [24.0, 26, 20.0], [39.0, 31, 30.0], [30.0, 26, 20.0], [34.0, 37, 36.0], [33.0, 30, 29.0], [36.0, 32, 32.0], [28.0, 28, 26.0], [28.0, 28, 20.0], [40.0, 33, 32.0], [42.0, 28, 26.0], [58.0, 58, 58.0], [34.0, 31, 30.0], [26.0, 25, 22.0], [21.0, 25, 19.0], [40.0, 29, 28.0], [16.0, 23, 23.0], [36.0, 32, 28.0], [36.0, 28, 23.0], [50.0, 39, 38.0], [32.0, 38, 38.0], [16.0, 27, 24.0], [34.0, 33, 28.0], [32.0, 32, 32.0], [27.0, 31, 28.0], [25.0, 31, 24.0], [36.0, 28, 28.0], [36.0, 30, 22.0], [32.0, 26, 26.0], [21.0, 31, 24.0], [34.0, 32, 32.0], [22.0, 26, 22.0], [54.0, 31, 30.0], [22.0, 30, 24.0], [42.0, 43, 40.0], [33.0, 32, 32.0], [22.0, 19, 16.0], [52.0, 32, 30.0], [62.0, 26, 22.0], [43.0, 31, 24.0], [22.0, 23, 20.0], [38.0, 33, 26.0], [40.0, 32, 26.0], [40.0, 30, 28.0], [42.0, 40, 36.0], [56.0, 31, 30.0], [50.0, 38, 32.0]], [[20.0, 29, 27.0], [26.0, 27, 25.0], [22.0, 25, 24.0], [30.0, 33, 30.0], [58.0, 46, 44.0], [26.0, 29, 26.0], [38.0, 36, 30.0], [22.0, 28, 25.0], [24.0, 28, 26.0], [30.0, 32, 32.0], [34.0, 32, 28.0], [28.0, 33, 28.0], [24.0, 35, 32.0], [30.0, 43, 40.0], [34.0, 42, 42.0], [50.0, 32, 26.0], [28.0, 32, 30.0], [38.0, 26, 22.0], [18.0, 36, 29.0], [34.0, 34, 34.0], [26.0, 30, 28.0], [28.0, 27, 24.0], [32.0, 28, 27.0], [26.0, 28, 24.0], [48.0, 38, 36.0], [32.0, 34, 32.0], [58.0, 41, 30.0], [22.0, 26, 22.0], [40.0, 36, 36.0], [41.0, 34, 30.0], [27.0, 24, 20.0], [38.0, 36, 34.0], [38.0, 31, 30.0], [26.0, 34, 34.0], [34.0, 34, 30.0], [22.0, 25, 21.0], [21.0, 29, 22.0], [28.0, 30, 24.0], [80.0, 34, 32.0], [32.0, 26, 24.0], [28.0, 32, 30.0], [54.0, 31, 28.0], [42.0, 40, 33.0], [24.0, 25, 20.0], [42.0, 31, 28.0], [52.0, 32, 28.0], [49.0, 34, 32.0], [64.0, 40, 38.0]], [[23.0, 31, 28.0], [30.0, 31, 30.0], [46.0, 27, 22.0], [40.0, 37, 29.0], [40.0, 45, 42.0], [40.0, 35, 30.0], [32.0, 27, 22.0], [32.0, 33, 32.0], [26.0, 24, 22.0], [26.0, 26, 22.0], [28.0, 38, 32.0], [58.0, 40, 37.0], [50.0, 33, 30.0], [42.0, 29, 26.0], [28.0, 34, 26.0], [38.0, 34, 34.0], [22.0, 32, 24.0], [34.0, 44, 39.0], [46.0, 35, 32.0], [46.0, 31, 30.0], [34.0, 44, 44.0], [14.0, 22, 18.0], [48.0, 31, 26.0], [16.0, 26, 24.0], [34.0, 26, 22.0], [62.0, 29, 25.0], [28.0, 37, 34.0], [31.0, 29, 28.0], [29.0, 49, 46.0], [48.0, 32, 32.0], [36.0, 33, 28.0], [40.0, 41, 36.0], [42.0, 38, 36.0], [64.0, 48, 48.0], [40.0, 36, 36.0], [54.0, 46, 44.0], [22.0, 28, 22.0], [26.0, 28, 27.0], [38.0, 43, 38.0], [46.0, 42, 40.0], [30.0, 38, 30.0], [50.0, 32, 32.0], [32.0, 27, 24.0], [34.0, 36, 33.0], [36.0, 33, 28.0], [22.0, 33, 30.0], [41.0, 44, 44.0], [44.0, 36, 32.0]], [[36.0, 41, 40.0], [54.0, 46, 44.0], [32.0, 32, 32.0], [34.0, 37, 32.0], [29.0, 31, 27.0], [32.0, 35, 30.0], [56.0, 38, 36.0], [48.0, 40, 37.0], [20.0, 30, 22.0], [46.0, 42, 38.0], [28.0, 34, 30.0], [104.0, 45, 42.0], [86.0, 46, 46.0], [26.0, 32, 26.0], [46.0, 43, 37.0], [40.0, 54, 48.0], [58.0, 28, 26.0], [46.0, 30, 28.0], [80.0, 39, 38.0], [40.0, 40, 38.0], [36.0, 38, 34.0], [33.0, 37, 32.0], [38.0, 52, 46.0], [48.0, 34, 34.0], [52.0, 35, 34.0], [33.0, 32, 31.0], [46.0, 44, 37.0], [46.0, 40, 34.0], [26.0, 33, 27.0], [32.0, 38, 34.0], [26.0, 31, 31.0], [32.0, 36, 32.0], [42.0, 51, 44.0], [34.0, 44, 42.0], [62.0, 40, 38.0], [32.0, 30, 20.0], [48.0, 39, 36.0], [38.0, 27, 24.0], [34.0, 43, 40.0], [44.0, 39, 34.0], [44.0, 37, 36.0], [56.0, 40, 38.0], [68.0, 37, 34.0], [18.0, 29, 28.0], [38.0, 56, 52.0], [54.0, 40, 37.0], [76.0, 44, 44.0], [40.0, 37, 30.0]], [[50.0, 38, 38.0], [64.0, 69, 64.0], [72.0, 39, 34.0], [50.0, 40, 34.0], [50.0, 44, 40.0], [34.0, 33, 30.0], [38.0, 42, 33.0], [58.0, 42, 40.0], [21.0, 35, 28.0], [70.0, 43, 42.0], [40.0, 39, 34.0], [40.0, 55, 48.0], [36.0, 45, 40.0], [64.0, 51, 46.0], [36.0, 44, 33.0], [44.0, 38, 28.0], [48.0, 39, 36.0], [48.0, 43, 38.0], [40.0, 60, 60.0], [20.0, 29, 19.0], [56.0, 41, 38.0], [34.0, 40, 32.0], [48.0, 32, 24.0], [28.0, 37, 36.0], [22.0, 28, 22.0], [49.0, 51, 45.0], [44.0, 44, 40.0], [38.0, 35, 34.0], [110.0, 60, 58.0], [34.0, 29, 26.0], [32.0, 33, 26.0], [28.0, 37, 32.0], [54.0, 27, 24.0], [62.0, 37, 34.0], [64.0, 48, 44.0], [32.0, 40, 36.0], [34.0, 54, 54.0], [46.0, 43, 36.0], [30.0, 39, 30.0], [36.0, 40, 30.0], [52.0, 50, 46.0], [42.0, 47, 41.0], [28.0, 45, 44.0], [40.0, 46, 44.0], [31.0, 32, 30.0], [52.0, 51, 46.0], [42.0, 48, 41.0], [30.0, 37, 34.0]], [[88.0, 56, 56.0], [44.0, 51, 50.0], [37.0, 46, 39.0], [48.0, 30, 28.0], [28.0, 52, 52.0], [34.0, 44, 44.0], [66.0, 41, 31.0], [32.0, 34, 24.0], [82.0, 42, 38.0], [44.0, 46, 40.0], [86.0, 50, 46.0], [68.0, 65, 64.0], [38.0, 48, 46.0], [64.0, 60, 47.0], [120.0, 77, 72.0], [37.0, 46, 42.0], [45.0, 42, 38.0], [60.0, 43, 42.0], [34.0, 43, 37.0], [50.0, 57, 51.0], [30.0, 44, 44.0], [72.0, 42, 40.0], [40.0, 43, 40.0], [76.0, 50, 40.0], [48.0, 53, 48.0], [34.0, 33, 30.0], [17.0, 26, 18.0], [56.0, 54, 50.0], [54.0, 50, 46.0], [27.0, 31, 27.0], [40.0, 38, 32.0], [56.0, 41, 41.0], [32.0, 50, 46.0], [41.0, 31, 28.0], [40.0, 40, 38.0], [34.0, 47, 43.0], [76.0, 71, 62.0], [44.0, 41, 36.0], [32.0, 45, 39.0], [80.0, 36, 34.0], [52.0, 38, 32.0], [28.0, 41, 30.0], [56.0, 44, 38.0], [30.0, 36, 30.0], [45.0, 43, 36.0], [64.0, 54, 54.0], [38.0, 38, 38.0], [50.0, 49, 44.0]], [[67.0, 41, 38.0], [27.0, 33, 28.0], [25.0, 33, 30.0], [64.0, 63, 62.0], [82.0, 55, 50.0], [34.0, 49, 40.0], [50.0, 58, 56.0], [54.0, 46, 44.0], [50.0, 37, 32.0], [31.0, 38, 31.0], [56.0, 44, 38.0], [50.0, 44, 34.0], [64.0, 53, 42.0], [54.0, 42, 34.0], [36.0, 37, 33.0], [84.0, 39, 38.0], [38.0, 41, 34.0], [38.0, 38, 34.0], [78.0, 49, 48.0], [40.0, 43, 38.0], [40.0, 40, 34.0], [36.0, 32, 26.0], [29.0, 38, 37.0], [52.0, 39, 32.0], [36.0, 33, 29.0], [58.0, 41, 35.0], [45.0, 38, 35.0], [59.0, 45, 42.0], [56.0, 46, 46.0], [62.0, 41, 38.0], [23.0, 41, 38.0], [50.0, 48, 40.0], [46.0, 55, 46.0], [56.0, 33, 26.0], [48.0, 44, 38.0], [53.0, 51, 47.0], [66.0, 56, 52.0], [50.0, 36, 32.0], [38.0, 50, 42.0], [34.0, 38, 34.0], [35.0, 41, 36.0], [30.0, 35, 30.0], [57.0, 65, 54.0], [90.0, 58, 56.0], [60.0, 37, 33.0], [112.0, 56, 50.0], [59.0, 51, 44.0], [56.0, 68, 68.0]], [[50.0, 38, 30.0], [40.0, 51, 44.0], [100.0, 49, 44.0], [76.0, 54, 46.0], [54.0, 46, 42.0], [50.0, 37, 34.0], [61.0, 49, 45.0], [46.0, 44, 42.0], [50.0, 39, 34.0], [66.0, 48, 40.0], [56.0, 52, 40.0], [46.0, 49, 40.0], [29.0, 56, 55.0], [68.0, 73, 68.0], [68.0, 54, 48.0], [72.0, 64, 62.0], [62.0, 44, 42.0], [96.0, 58, 50.0], [30.0, 36, 30.0], [100.0, 56, 54.0], [104.0, 47, 42.0], [56.0, 53, 43.0], [34.0, 43, 34.0], [32.0, 37, 30.0], [54.0, 46, 38.0], [36.0, 38, 38.0], [60.0, 40, 36.0], [50.0, 58, 50.0], [78.0, 55, 48.0], [106.0, 60, 58.0], [57.0, 57, 46.0], [54.0, 54, 52.0], [64.0, 55, 50.0], [58.0, 46, 42.0], [28.0, 41, 37.0], [60.0, 36, 28.0], [70.0, 46, 41.0], [60.0, 49, 42.0], [66.0, 45, 36.0], [40.0, 34, 28.0], [82.0, 68, 66.0], [48.0, 49, 47.0], [54.0, 40, 36.0], [40.0, 46, 34.0], [42.0, 47, 42.0], [46.0, 48, 44.0], [40.0, 49, 40.0], [46.0, 45, 38.0]], [[50.0, 56, 46.0], [56.0, 48, 41.0], [48.0, 41, 36.0], [62.0, 60, 60.0], [58.0, 49, 42.0], [72.0, 57, 50.0], [52.0, 52, 44.0], [38.0, 46, 42.0], [68.0, 56, 46.0], [60.0, 44, 38.0], [62.0, 53, 48.0], [62.0, 41, 38.0], [52.0, 48, 43.0], [48.0, 48, 48.0], [68.0, 35, 33.0], [35.0, 41, 36.0], [74.0, 57, 49.0], [62.0, 99, 94.0], [40.0, 40, 36.0], [46.0, 50, 44.0], [74.0, 43, 36.0], [30.0, 45, 38.0], [166.0, 61, 58.0], [32.0, 51, 46.0], [42.0, 45, 32.0], [35.0, 43, 42.0], [50.0, 43, 40.0], [42.0, 39, 32.0], [40.0, 52, 48.0], [66.0, 66, 66.0], [41.0, 48, 42.0], [50.0, 54, 48.0], [36.0, 42, 35.0], [51.0, 45, 40.0], [54.0, 40, 36.0], [64.0, 52, 47.0], [50.0, 50, 44.0], [46.0, 45, 37.0], [64.0, 50, 36.0], [70.0, 44, 36.0], [54.0, 51, 51.0], [35.0, 46, 34.0], [68.0, 52, 48.0], [32.0, 34, 30.0], [34.0, 44, 36.0], [130.0, 67, 64.0], [82.0, 51, 50.0], [64.0, 80, 80.0]], [[54.0, 43, 36.0], [40.0, 54, 39.0], [36.0, 60, 52.0], [52.0, 55, 48.0], [60.0, 49, 42.0], [50.0, 52, 46.0], [22.0, 37, 24.0], [70.0, 76, 64.0], [42.0, 51, 47.0], [92.0, 92, 92.0], [68.0, 44, 35.0], [40.0, 57, 44.0], [70.0, 44, 40.0], [44.0, 42, 42.0], [64.0, 68, 62.0], [52.0, 65, 60.0], [52.0, 46, 38.0], [36.0, 37, 29.0], [40.0, 44, 36.0], [60.0, 82, 76.0], [68.0, 53, 50.0], [38.0, 40, 34.0], [76.0, 83, 80.0], [52.0, 48, 36.0], [64.0, 66, 62.0], [60.0, 43, 40.0], [102.0, 116, 106.0], [50.0, 50, 46.0], [32.0, 49, 46.0], [48.0, 50, 46.0], [34.0, 61, 56.0], [57.0, 63, 60.0], [34.0, 50, 42.0], [50.0, 37, 34.0], [54.0, 50, 50.0], [72.0, 70, 68.0], [76.0, 50, 48.0], [70.0, 59, 56.0], [54.0, 42, 40.0], [36.0, 50, 50.0], [46.0, 57, 48.0], [58.0, 45, 33.0], [146.0, 71, 68.0], [46.0, 53, 50.0], [104.0, 52, 49.0], [46.0, 46, 44.0], [90.0, 67, 66.0], [48.0, 49, 42.0]], [[62.0, 69, 60.0], [78.0, 52, 46.0], [43.0, 48, 38.0], [58.0, 62, 62.0], [70.0, 50, 40.0], [46.0, 53, 48.0], [56.0, 57, 54.0], [80.0, 57, 54.0], [42.0, 59, 44.0], [43.0, 50, 39.0], [34.0, 41, 34.0], [26.0, 37, 25.0], [33.0, 54, 42.0], [60.0, 63, 58.0], [46.0, 51, 44.0], [46.0, 52, 46.0], [82.0, 52, 49.0], [42.0, 47, 38.0], [68.0, 50, 50.0], [38.0, 47, 40.0], [62.0, 53, 41.0], [54.0, 44, 36.0], [49.0, 70, 69.0], [54.0, 63, 56.0], [58.0, 50, 48.0], [106.0, 60, 57.0], [38.0, 57, 50.0], [62.0, 56, 52.0], [68.0, 48, 48.0], [50.0, 46, 36.0], [50.0, 55, 43.0], [50.0, 58, 54.0], [75.0, 59, 55.0], [44.0, 47, 39.0], [50.0, 42, 36.0], [66.0, 60, 58.0], [44.0, 42, 38.0], [40.0, 50, 38.0], [40.0, 71, 64.0], [88.0, 50, 46.0], [68.0, 47, 41.0], [75.0, 76, 68.0], [62.0, 67, 64.0], [62.0, 48, 40.0], [88.0, 52, 46.0], [88.0, 48, 42.0], [58.0, 55, 50.0], [98.0, 54, 54.0]]]\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "sd_num = list(range(10, len(data) * 10 + 10, 10))\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "# sp_gd = [item[0] for item in mean_data]\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "\n",
    "# 可视化\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(sd_num, sp_psp, label='SP+PSP', marker='o')\n",
    "plt.plot(sd_num, rpd_gd, label='RPD+GD', marker='s')\n",
    "plt.plot(sd_num, rpsp, label='RPSP-HE', marker='^')\n",
    "\n",
    "plt.xlabel('Number of QKD Request')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('node_num=60, alpha=0.2')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_sd_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "xs",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
